GCF and LCM Calculator Logo

What is the Least Common Multiple of 4827 and 4838?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 4827 and 4838 is 23353026.

LCM(4827,4838) = 23353026

LCM Calculator and
and

Least Common Multiple of 4827 and 4838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4827 and 4838, than apply into the LCM equation.

GCF(4827,4838) = 1
LCM(4827,4838) = ( 4827 × 4838) / 1
LCM(4827,4838) = 23353026 / 1
LCM(4827,4838) = 23353026

Least Common Multiple (LCM) of 4827 and 4838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4827 and 4838. First we will calculate the prime factors of 4827 and 4838.

Prime Factorization of 4827

Prime factors of 4827 are 3, 1609. Prime factorization of 4827 in exponential form is:

4827 = 31 × 16091

Prime Factorization of 4838

Prime factors of 4838 are 2, 41, 59. Prime factorization of 4838 in exponential form is:

4838 = 21 × 411 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 4827 and 4838.

LCM(4827,4838) = 31 × 16091 × 21 × 411 × 591
LCM(4827,4838) = 23353026